Decomposition of Dirichlet forms associated to unbounded Dirichlet operators

Chul Ki Ko

doi:10.4134/BKMS.2009.46.2.347

Decomposition of Dirichlet forms associated to unbounded Dirichlet operators

Chul Ki Ko

University College

Research output: Contribution to journal › Article › peer-review

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Abstract

In [8], the author decomposed the Dirichlet form associated to a bounded generator G of a weakly^*-continuous, completely positive, KMS-symmetric Markovian semigroup on a von Neumann algebra M. The aim of this paper is to extend G to the unbounded generator using the bimodule structure and derivations.

Original language	English
Pages (from-to)	347-358
Number of pages	12
Journal	Bulletin of the Korean Mathematical Society
Volume	46
Issue number	2
DOIs	https://doi.org/10.4134/BKMS.2009.46.2.347
Publication status	Published - 2009 Mar

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4134/BKMS.2009.46.2.347

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title = "Decomposition of Dirichlet forms associated to unbounded Dirichlet operators",

abstract = "In [8], the author decomposed the Dirichlet form associated to a bounded generator G of a weakly*-continuous, completely positive, KMS-symmetric Markovian semigroup on a von Neumann algebra M. The aim of this paper is to extend G to the unbounded generator using the bimodule structure and derivations.",

keywords = "Derivations, Dirichlet forms, Dirichlet operators, KMS-symmetric Markovian semigroups",

author = "Ko, {Chul Ki}",

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AB - In [8], the author decomposed the Dirichlet form associated to a bounded generator G of a weakly*-continuous, completely positive, KMS-symmetric Markovian semigroup on a von Neumann algebra M. The aim of this paper is to extend G to the unbounded generator using the bimodule structure and derivations.

KW - Derivations

KW - Dirichlet forms

KW - Dirichlet operators

KW - KMS-symmetric Markovian semigroups

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JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

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Decomposition of Dirichlet forms associated to unbounded Dirichlet operators

Abstract

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